The entropy of a binary Hidden Markov Process

被引：28
|
作者：
Zuk, O [1 ]
Kanter, I
Domany, E
机构：
[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
[2] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel
来源：
JOURNAL OF STATISTICAL PHYSICS | 2005年 / 121卷 / 3-4期
关键词：
Hidden Markov Process; entropy; random-field Ising model;
D O I：
10.1007/s10955-005-7576-y
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The entropy of a binary symmetric Hidden Markov Process is calculated as an expansion in the noise parameter epsilon. We map the problem onto a one-dimensional Ising model in a large field of random signs and calculate the expansion coefficients up to second order in epsilon. Using a conjecture we extend the calculation to 11th order and discuss the convergence of the resulting series.
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页码：343 / 360
页数：18
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